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Finding the Third Proportional to 39,312 and 59,592

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Solution

The third proportional to 39,312 and 59,592 is: 90,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,312 : 59,592 = 59,592 : x
  2. Step 2: Convert to fraction form
    39,312/59,592 = 59,592/x
  3. Step 3: Cross multiply
    39,312x = 59,592 × 59,592
  4. Step 4: Simplify right side
    39,312x = 3,551,206,464
  5. Step 5: Solve for x
    x = 3,551,206,464/39,312
  6. Step 6: Final answer
    x = 90,333.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.